Explanation:
F = ma
30 = 20m
m = 30/20
m = 1.5 kg
. a boat can travel in still water. (a) if the boat points directly across a stream whose current is what is the velocity (magnitude and direction) of the boat relative to the shore? (b) what will be the position of the boat, relative to its point of origin, after 3.00 s?
a) The velocity of the boat relative to the shore is 3.40 m/s and b) The position of the boat relative to its point of origin after 3s is 10.20m.
Here it is given that the speed of the boat (x) = 2.20m/s
The speed of the stream current (y) = 1.20m/s
a) We have to find the velocity of the boat relative to the shore.
The speed of the boat = x + y
= 2.20 + 1.20
= 3.40m/s
b) Now we have to find the position of the boat after 3s
The formula for speed:
Speed = Distance/ Time
distance = speed × time
speed = 3.40m/s
Time = 3s
distance = 3.40 × 3
= 10.20 m
Therefore we get a) speed as 3.40m/s and b) distance as 10.20m.
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A hockey puck with a mass of 0. 12 kg is traveling across the ice at a velocity of 150 m/s downfield. What is the momentum of the hockey puck?.
The momentum of the hockey puck is 18 kgm/s.
Momentum of any object is nothing but the product of mass and velocity. Momentum is a vector quantity so it is having both mass and direction. generally the direction of momentum is the same as the direction of velocity, because mass is a scalar quantity.
It means we can write that,
momentum = mass x velocity
P = mxv
here in the question we have mass 0.12 kg and velocity is 150 m/s, so we can write
P = 0.12 x 150 (kgm/s)
p = 18 kgm/s
Hence the momentum of the hockey puck is 18 kgm/s.
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the actual depth of a shallow pool 1.00 m deep is not the same as the apparent depth seen when you look straight down at the pool from above. how deep will it appear to be? the index of refraction for water is 1.33.
The objects appear to be closer to the surface than they actually are.
Only when those rays hit our eyes do we perceive an object. In this image, the fish's ray refracts before it reaches the viewer's eye. As a result, the observer sees the fish's apparent depth, Da, at that distance from the surface. Contrarily, fish perceive objects that are farther away than they actually are. Light refraction is the cause of each of these outcomes.Light refracts away from its normal path as a result. According to the incident ray's angle, it doesn't refract at one point and instead travels parallel to the mediums' boundaries. This is the critical angle that we refer to. The incident ray undergoes total reflection rather than refraction if the angle is greater than the critical angle. To find the equation for the critical angle, we now apply Snell's law of refraction.To find more about Snell's law of refraction-
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A 20 N force accelerates a 5 kg trolley from 2 m/s to 5 m/s. How long does this change of velocity take?
The correct answer is 0.75 second will take to change velocity.
What connection exists between force and mass of acceleration?
Mass times acceleration, or F=m x a, equals force. This means that in order to move an object at the same speed or velocity as an object with smaller mass, a stronger force is required. Newton's Second Law of Motion is this.
Given, Initial velocity u = 2 m/s
Final velocity v=5 m/s, mass of trolley = 5 Kg. , Force = 20 N
Force = Mass x acceleration
20 N = 5 x a
a = 4 m/ s²
v = u + at
5 = 2 + 4x t
t = 3/ 4 = 0.75 second
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determine the magnification if a 2.0-cm-high object is situated 11.6 cm in front of a concave mirror that has a radius of curvature of 10.0 cm.
The computed magnification value is 0.11379
Optics Theory-Magnification is the term for the increase in image size brought about by spherical mirrors that are concave or convex in relation to the object size. Magnification is also equal to the ratio of the image's distance from the mirror's pole to the distance of the object as measured from the pole of the mirror.The object's height is always interpreted as positive because it is always above the primary principal axis. But depending on the type of image created in the case of any selected mirror, the sign for the image height may change. The height of the created virtual images should be considered positive, whereas the height of the created real images should be considered negative.Mathematics -u=-11.6cm
f=R/2=10/2=5cm
But as per sign convention f=-5cm
h=2cm
[tex]\frac{1}{v}+\frac{1}{u}=\frac{1}{f}[/tex]
Calculation-1/v=-1/5+1/11.6
=-0.2 +0.08620689
=-0.11379
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It takes 14 minutes, or 840s, to drive to the Rockaway Mall from MOHS. If the Rockaway Mall is
11.3 miles, or 181,856m away from the school, calculate the average speed for this trip.
If it takes 14 minutes, or 840 seconds, to drive from MOHS to the Rockaway Mall, the average speed for this route is 216 m/s.
What's the average speed response?The total distance something has traveled is divided by the total amount of time it took to traverse that distance to arrive at its average speed. Speed is the current rate of movement of something. Average speed is the speed that a vehicle travels at on average over the course of a trip.
Give an example of the typical speed.The average speed is calculated by dividing the total distance traveled throughout the entire time period. A person's average speed, for instance, is calculated as 40 miles divided by 40 minutes, or 1 mile per minute, if it takes them 40 minutes to drive 20 miles north, 20 miles south, and then 20 miles in between (60 mph).
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According to newton’s first law of motion, an object in motion will stay in at the same speed and direction unless acted upon by what kind of force?.
The vertical impulse by the lift force during this time is 4.15 by minutes for newton's law of motion.
Explanation-
We have a demon That there is a force of 52 down cause of 15. Right? This is what we have you in the questions and acting on the bill. Be both masked by Graham of Mars five g. No. In the meantime. And travelers given that the time and develop acting on this fourth, you should humanists. But we need to find the impulse England's. They seem to not advise you actually. This is what we need to find. So we know that false change in momentum much time. So basically impulses change momentum, but you find impulses changing moment also jay so G is false in campaign so we can put forth here. The forces to do time 59 1 dime. That's Spanish for -5. This was with 15 to 10 days to four minutes, five Newton and two times three seconds Volunteers. They will get 15 into 10 days to the R -4. 15 10 by minus for Newton second law.
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If you set the air pressure of the tank to 35 psi for a leak test and find that 24 hours later the tank's pressure has increased, what could've happened?
If you set the air pressure of the tank to 35 psi for a leak test and find that 24 hours later the tank's pressure has increased, the thing that could've happened is that there is still a little leak that lets whatever that is inside (such as water) the tank to seep out into the tank's air space.
What is the water pressure about?You may be having issues with your well tank's pressure charge if you've observed that your submersible well pump is turning on and off more frequently or that you're having trouble getting water out of your tank.
Low well tank pressure can harm your well pump, lower the water pressure in your home, and eventually lead to the early failure of your tank. It's crucial to drain the tank and inspect the system's integrity right away if you think your well pressure tank is losing pressure.
Your pressure switch is most likely set to 40/60 if your pump starts up at 40. Turn off the faucet and wait for the well pump to stop before continuing. To find out, check the pressure switch.
Hence, Your pressure switch is most likely set to 40/60 if your pump starts up at 40. Turn off the faucet and wait for the well pump to stop before continuing. To determine the pressure at which this happens, check the pressure switch. This is your tank's second number, often known as the cut-off pressure.
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how much energy would microraptor gui have to expend to fly with a speed of 10 m/sm/s for 1.0 minute?
Much energy as would Microraptor gui have to expend to fly with a speed of 10 m/s for 1.0 minutes is 486 J.
The first step is to find the energy that Microraptor must release to fly at 10 m/s for 1.0 minutes. The energy that Microraptor must expend to fly can be found using the relationship between Power and Energy.
P = E/t
Where:
P = power (W)
T = time (s)
Now, a minimum of 8.1 W is required to fly at 10 m/s. So, the energy expended in 1 minute (60 seconds) is
P = E/t
E = P x t
E = 8.1 x 60
E = 486 Joules
Thus, the energy that Microraptor must expend to fly at 10 m/s for 1.0 minutes is the 486 J.
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on the cosmic calendar, which compresses the history of the universe into a single year, about when did life arise on earth?
On the cosmic calendar, life arise on earth about 300,000 years ago
The Cosmic Calendar is a method to visualize the chronology of the universe, The Cosmic Calendar is a scale in which the 13.7 billion year lifetime of the universe is mapped onto a single year. T
Earth formed in early September on the cosmic calendar. about 300,000 years ago in actual time, that anatomically modern humans, Homo sapiens, arose for the first time.
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Nuclear power is generated by using Uranium as fuel to produce
nuclear fission. Once the nuclear fission is present, the heat is
combined with the water to make steam. This steam then turns the
Answer:
turbine
Explanation:
Turbine that turns the generator
Karl measures the current through a resistor. What else will he need to measure in order to work out its resistance? give the full name, not the symbol.
Answer:
Explanation:
The voltage across the resistor
then ohms = voltage / current
The velocity of sound waves is roughly the same for all wavelengths. Suppose that a sound wave has a wavelength of one meter and a frequency of 1000hz. The wavelength of a 250hz sound wave would then be.
Answer:
4 m
Explanation:
[tex]v = f \times λ[/tex]
speed of sound wave (according to question)
= 1 × 1000 = 1000m/s
wavelength is represented by λ
therefore to find the wavelength, divide the speed by the frequency of the second wave given by the question
λ of another wave = 1000 ÷ 250 = 4 m
Speed of sound equals wavelength and frequency. The wavelength of the sound wave if the frequency is 250hz is 4 meters.
What is the speed of sound waves?
Sound requires a medium to propagate in the form of vibration. It is the pattern of disturbance caused by the movement of energy particles propagating through the medium.
Sound waves can travel in the form of transverse and longitudinal waves. When the sound source continues to vibrate in the medium, the vibrations are propagated in the form of sound waves.
The sound waves travel at different speeds in different mediums. the speed of sound waves remains constant in the same medium. The speed of sound waves is directly proportional to wavelength and frequency.
Wavelength(λ) measures the distance between two crests/ two troughs in a wave and its SI unit is a meter. The frequency (f) of a wave is the number of waves that pass in a certain time and its unit is hertz(Hz). The SI unit of the speed sound wave is m/s.
From the givens,
wavelength(λ) = 1 meter.
frequency (f) = 1000hz.
Speed of wave(v) = wavelength × frequency
= 1 × 1000
v = 1000 m/s.
speed of wave = 1000 m/s.
frequency = 250hz
wavelength(λ) = speed / frequency
= 1000 / 250
= 4 meters.
Hence, the wavelength(λ) of a 250 hz sound wave is 4 meters.
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The small, but important, energy differences between 3s, 3p, and 3d orbitals are due mainly to.
Its Heisenberg uncertainty principle is mostly to blame for a little but significant discrepancy between these three s three P & three D printers.
By what method did Einstein refute the Heisenberg uncertainty principle?The momentum on Bob's particle can then be properly stated without relying on Alice's measurement, according to Einstein, assuming no supernatural activity. Now we have Bob's particle, which defies quantum Heisenberg Uncertainty Principle by possessing accurate values for both position and momentum at the same time.
How significant is the Heisenberg principle?According to their beliefs, everything might be accurately known with the aid of mathematics and the appropriate tools. Heisenberg, however, proved that every measurement has a certain amount of randomness and uncertainty and that this is a natural aspect of how the universe functions.
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an object at rest on a flat, horizontal surface explodes into two fragments, one seven times as massive as the other. the heavier fragment slides 5.90 mm before stopping. how far does the lighter fragment slide?
The lighter fragment slide to a distance of 289.1m.
The distance between two points is referred to as its length.
7m in mass for the heavier fragment
The lighter fragment's velocity is equal to V1.
The velocity of larger pieces is equal to V2.
mv1 + 7mv2 = 0
V1 = -7V2
The frictional force on lighter fragment: f1 = mg
Friction force on a heavier piece is equal to f2 = 7 mg.
The lighter fragment's deceleration equals a1.
frictional force = ma1 = - f1
ma1 = - µmg
a1 = - µg
Deceleration of the heavier piece equals a2.
7ma2 = -f2
7ma2 = - 7µmg
a2 = - µg
V₃²= V₁² + 2a₁d₁
0 = (-7v₂)² + 2(-µg) d₁
d₁ = 49v₂²/ 2µg
d₁ = 49d₂ = 49 ˣ 5.9 = 289.1m
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A pool cue stick strikes a stationary billiard ball with mass = .25kg and gives the ball a speed of 2.0m/s. Suppose the average force of the cue stick on the ball was 200.0N, over what distance did this force act?
The distance acted by a force of 200 N on a billiard ball of mass 0.25 kg is 0.0025 m.
What is distance?Distance can be defined as the length between points.
To calculate the distance the force act, we need to first find the acceleration of the ball produced by the force.
Using,
a = F/m............. Equation 1Where:
a = Acceleration of the ballF = Forcem = Mass of the ballGiven:
F = 200 Nm = 0.25 kgSubstitute these values into equation 1
a = 200/0.25a = 800 m/s²
Finally, we calculateb the distance, using the formula below.
s = (v²-u²)/2a......... Equation 2Where:
v = Final velocityu = Initial velocitys = DistanceFrom The question,
Given:
v = 2 m/su = 0 m/sa = 800 NSubstitute these values into equation 2
s = (2²-0²)/(2×800)s = 4/1600s = 0.0025 mHence, the distance acted by the force is 0.0025 m.
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Which phrase is the best example of potential energy? responses a ball rolling down a hill a ball rolling down a hill a ball sitting at the bottom of a hill a ball sitting at the bottom of a hill a ball sitting at the top of a hill.
" a ball sitting at the top of a hill " is the best example of potential energy
Potential energy is exits when an object is in stable equilibrium condition In which an object is in rest and not moving at a certain height .
" a ball rolling down a hill a ball rolling " in this option ball is not at rest , hence posses a kinetic energy
" a ball sitting at the bottom of a hill " , the ball is at bottom
hence , both are incorrect options
and the correct option will be " a ball sitting at the top of a hill "
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Conider a particle whir ling about a circular path of radiu 44m with a tangential velocity of magnitude 24m/ find the magnitude of the angular velocity ?
The magnitude of the angular velocity of a particle whirling about a circular path of radius 44m with a tangential velocity of magnitude 24 m / s is 0.55 rad / s
v = r ω
v = Tangential velocity
r = Radius
ω = Angular velocity
r = 44 m
v = 24 m / s
ω = v / r
ω = 24 / 44
ω = 0.55 rad / s
Tangential velocity is also known as linear velocity. So the linear velocity value multiplied by the radius of the curve gives the value of angular velocity which is represented using the unit rad / s.
Therefore, the magnitude of the angular velocity is 0.55 rad / s
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Arrange the following elements in order of expected increasing electronegativity values: barium (56), beryllium, calcium, magnesium.
The correct order of expected increasing electronegativity values will be
Barium
Calcium
Magnesium
Beryllium
Electronegativity is a chemical property that describe tendency of an atom to attract electrons .
As we know that all the elements mentioned above are from group 2
In group , as we go down , the electronegativity will decrease as size of the atom increases and as the size increases tendency of nucleus to hold electron get decrease . Hence , electronegativity will decrease as we go down the group
the correct order will be
Barium
Calcium
Magnesium
Beryllium
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an athlete swims the length of a 52.0-m pool in 15.8 s and makes the return trip to the starting position in 21.0 s. determine her average velocity
ˉv=dt where d is the overall displacement, t is the time it takes to complete the displacement, and v is the average velocity of the item. As a result, the average velocity is typically zero when the overall displacement is zero.
The change in position divided by the distance traveled is how average velocity is calculated. For instance, someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, is traveling 20 miles north and then 20 miles south (60 mph). However, average velocity takes into account total displacement rather than just distance.
Average Speed = TT/TD (20/50 = 2.5 m/sec) (b) Average Speed = TT / TD = 22 / 50 = 2.2727 m/sec (c) Average Speed = TT / TD = 20 + 22 / 50 + 50 = 2.38 m/sec
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What information could NOT be provided by a criminal profiler?
OA. the name of the suspect
OB. the gender of the suspect
OC. the possible next moves of the suspect
O D.
the history or childhood trauma of the suspect
Answer: A. The name of the suspect
Explanation: Hope this helps!:)
The name of the suspect could not be provided by a criminal profiler. So, the correct option is A.
What is Criminal profiler?Criminal profiling is also referred to as offender profiling, is a method of investigation used by law enforcement to find potential suspects and by investigators to connect crimes that might have been committed by the same person.
Criminal profilers are highly skilled professionals that focus on locating the individuals responsible for heinous crimes. Along with forensics teams and other law enforcement personnel, profilers work to identify suspects using methods including in-depth psychological understanding and statistical probability.
The FBI defines the criminal profiling procedure as a method for locating the perpetrator of a violent crime by determining the personality and behavioural traits of the offender based on an examination of the crime that was committed.
Thus, the correct option is A.
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How may the stability of a body be increased?
Answer:
The functionality of a body can be restored with the help of appropriate flexibility and strengthening. Once everything is in place, you can exercise those muscles specifically for balance to put them to the test. Your body may then adjust, improving your general stability as you get better at completing those activities.
Answer:
The stability of an object is increased when the lower the centre of gravity is.
So we should try to lower the centre of gravity.
At what angle should the roadway on a curve with a 45 m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is icy (and the frictional force is zero)?.
At an angle of 18.26 ° the roadway on a curve with a 45 m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is icy
angle of banking of the car going round the curve = tan (theta) = [tex]v^{2} / rg[/tex]
v = speed
r = radius
g = acceleration due to gravity
substituting the values
tan (theta) = [tex]12^{2}[/tex] / 45 * 9.8 = 0.33
theta = [tex]tan^{-1}[/tex] (0.33)
= 18.26 °
At an angle of 18.26 ° the roadway on a curve with a 45 m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is icy .
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a 1.5 kg rock is whirled round in a flat circle at the end of an 85 cm string. it has a linear speed of 1.80 m/s. a) draw a fbd for the thing. b) what is the centripetal acceleration and c) the centripetal force acting on the rock?
Centripetal force is 5.61N
given data:-string length r=85cm
mass =1.5kg
velocity=1.08
Centripetal force= mv2/r= 1.5+1.08*1.08/85
=5.61N
What kind of force is a centripetal force?Centripetal force is the force exerted on an object moving curvilinearly that is pointed in the direction of the object's axis of rotation or center of curvature. Newton is the symbol for centripetal force. Whenever an object moves, the centripetal force is applied perpendicular to that direction.
How is centripetal force generated?Gravity is the centripetal force in Newtonian mechanics that drives astronomical orbits. The scenario in which a body travels at a constant speed along a circular path is a typical illustration of centripetal force.
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what if? if oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?
The maximum distance the firefighter can climb is 2.623 m.
Calculation:-
Let the maximum height be Dmax
The coefficient of friction is halved thus
[tex]\mu1 = \mu/2 = 0.306 / 2 = 0.153[/tex]
Now,
[tex]NW = \mu1*N = 1330 * 0.153 = 203.49[/tex]
= [tex](Weight of the ladder*cos\theta)* L/2 + (Weight of the man*cos\theta)* dmax - ( NW*sin\theta)* L = 0[/tex]
= 480*cos63 * (14/2) + 850*cos63*dmax - ( 203.49 *sin63 * 14) = 0
= 480*0.454*7 + 850*0.454*dmax = 203.49 *0.891*14
= 1525.44 + 385.9*dmax = 2538.33
= 385.9*dmax = 2538.33 - 1525.44 = 1012.89
= Dmax = 1012.89 / 385.9 = 2.623 m
or maximum distance is 2.623 m.
Maximum distance means the distance from the provider to the subscriber's place of residence or work. Maximum altitude is the maximum vertical distance a projectile can travel from the horizontal plane. Maximum height is the maximum height an object will reach during projection and horizontal extent is defined as the distance traveled horizontally across the ground after projection.
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einstein proposed that the light energy was delivered to the atoms in packets, called .
Answer:
photons
E = h ν where h is Planck's constant and ν = frequency of packet
a 0.415-kg mass suspended from a spring undergoes simple harmonic oscillations with a period of 1.25 s. how much mass, in kilograms, must be added to the object to change the period to 1.75 s?
Am mass of 0.431 kg should be added to the suspended mass so that the period changes from 1.25s to 1.75s.
The time period of the mass oscillating is given by,
T = 2π√(M/k)
Where,
M is the mass suspended by the spring and K is the spring constant,
The mass suspended is 0.145 kg and the time period is 1.25 seconds.
So, putting values,
1.25 = 2π√(0.415/K) ......Equation 2,
Let us say, that we have to add a mass M to the object so that the period changes to 1.75 seconds.
So, we can write,
1.75 = 2π√(0.415+M/K) ......Equation 1
Dividing the equations 1 and 2, we get,
M = 0.431 kg.
So, a mass of 0.431 kg should be added to change the time period.
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why do astronomers consider gamma ray bursts to be one of the greatest mysteries in astronomy
Gamma ray bursts occur randomly and pass very quickly. The explosion released more energy than a billion suns in just a few seconds.
Gamma raysGamma rays are an energetic form of electromagnetic radiation produced by radioactivity or other nuclear or subatomic processes such as electron-positron annihilation. Gamma rays make up the highest-energy electromagnetic spectrum.
Gamma ray explosions are the brightest explosions in the universe.
Astronomers believe that most explosions of this kind occur when an exotic massive star runs out of nuclear fuel.
The star's core collapses in the form of a black hole, a jet of material ignited by an unknown process released into space at speeds close to the speed of light.
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if you want to use a radio telescope to bounce radar signals off of a planetary body, what do you need to attach to the telescope, that wouldn't normally be there?
Radio telescopes are ideally used to detect the incoming light from planetary bodies from outside the earth.
So this is kind of a receiver itself as it receives the light. Further in such telescopes, there is a mounting system, on which large dishes are placed to receive radiation in large amounts.
But there is no transmitter in the telescope and if we want to bounce the radar signal off a planetary body we must need a source that will send such a signal. So a transmitter is required. A radio telescope is a specialized antenna and radio receiver used to come across radio waves from astronomical radio resources in the sky.
Radio telescopes detect and make bigger radio waves from the area, turning them into indicators that astronomers use to decorate our knowledge of the Universe.
A radio telescope is an astronomical device consisting of a radio receiver and an antenna device that is used to detect radio-frequency radiation emitted by way of extraterrestrial sources. Radio telescopes are much like optical telescopes in that the elements of these telescopes that produce images are sincerely the detectors that are placed at the focus.
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if a moving clock appears to be ticking half as fast as normal, at what speed is the clock traveling? answer in units of m/s.
The speed with which the clock is traveling is 0.866*3*10^8 m/s.
We know that by Lorentz Time Dilation formula, T= T'/([tex]\sqrt{1-\frac{Velocity^{2}}{c^{2} } }[/tex]) -(i)
We also know that the clock is moving half times as faster.
Using equation number (i) and simplifying it further we get-
[tex]\sqrt{1-\frac{v^{2} }{c^{2} } }[/tex]= 1/2
1 - [tex]v^{2}[/tex]/[tex]c^{2}[/tex] = 0.25
[tex]v^{2}[/tex]/[tex]c^{2}[/tex] = 0.75
v/c = 0.866
v = 0.866 * c
Since we know that c is the speed of light in air and is equivalent to the value = 3*10^8, we get -
v = 0.866 * 3 * 10^8
Hence, the clock moves with a speed, v which is equivalent to 0.866 * 3 * 10^8 m/s.
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